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Finding the Third Proportional to 40,088 and 71,428

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Solution

The third proportional to 40,088 and 71,428 is: 127,268.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,088 : 71,428 = 71,428 : x
  2. Step 2: Convert to fraction form
    40,088/71,428 = 71,428/x
  3. Step 3: Cross multiply
    40,088x = 71,428 × 71,428
  4. Step 4: Simplify right side
    40,088x = 5,101,959,184
  5. Step 5: Solve for x
    x = 5,101,959,184/40,088
  6. Step 6: Final answer
    x = 127,268.99

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.