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Finding the Third Proportional to 125,516.25 and 175,557.38

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Solution

The third proportional to 125,516.25 and 175,557.38 is: 245,549.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,516.25 : 175,557.38 = 175,557.38 : x
  2. Step 2: Convert to fraction form
    125,516.25/175,557.38 = 175,557.38/x
  3. Step 3: Cross multiply
    125,516.25x = 175,557.38 × 175,557.38
  4. Step 4: Simplify right side
    125,516.25x = 30,820,391,916.89
  5. Step 5: Solve for x
    x = 30,820,391,916.89/125,516.25
  6. Step 6: Final answer
    x = 245,549.02

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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.