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Finding the Third Proportional to 142,938.11 and 190,558.20

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Solution

The third proportional to 142,938.11 and 190,558.20 is: 254,043.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,938.11 : 190,558.20 = 190,558.20 : x
  2. Step 2: Convert to fraction form
    142,938.11/190,558.20 = 190,558.20/x
  3. Step 3: Cross multiply
    142,938.11x = 190,558.20 × 190,558.20
  4. Step 4: Simplify right side
    142,938.11x = 36,312,425,800.76
  5. Step 5: Solve for x
    x = 36,312,425,800.76/142,938.11
  6. Step 6: Final answer
    x = 254,043.00

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.