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Finding the Third Proportional to 102,606.75 and 144,114.19

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Solution

The third proportional to 102,606.75 and 144,114.19 is: 202,412.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,606.75 : 144,114.19 = 144,114.19 : x
  2. Step 2: Convert to fraction form
    102,606.75/144,114.19 = 144,114.19/x
  3. Step 3: Cross multiply
    102,606.75x = 144,114.19 × 144,114.19
  4. Step 4: Simplify right side
    102,606.75x = 20,768,899,038.79
  5. Step 5: Solve for x
    x = 20,768,899,038.79/102,606.75
  6. Step 6: Final answer
    x = 202,412.60

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.