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Finding the Third Proportional to 136,073.25 and 291,829.50

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Solution

The third proportional to 136,073.25 and 291,829.50 is: 625,872.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,073.25 : 291,829.50 = 291,829.50 : x
  2. Step 2: Convert to fraction form
    136,073.25/291,829.50 = 291,829.50/x
  3. Step 3: Cross multiply
    136,073.25x = 291,829.50 × 291,829.50
  4. Step 4: Simplify right side
    136,073.25x = 85,164,457,070.25
  5. Step 5: Solve for x
    x = 85,164,457,070.25/136,073.25
  6. Step 6: Final answer
    x = 625,872.15

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.