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Finding the Third Proportional to 88,038 and 190,106

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Solution

The third proportional to 88,038 and 190,106 is: 410,507.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,038 : 190,106 = 190,106 : x
  2. Step 2: Convert to fraction form
    88,038/190,106 = 190,106/x
  3. Step 3: Cross multiply
    88,038x = 190,106 × 190,106
  4. Step 4: Simplify right side
    88,038x = 36,140,291,236
  5. Step 5: Solve for x
    x = 36,140,291,236/88,038
  6. Step 6: Final answer
    x = 410,507.86

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.