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Finding the Third Proportional to 53,428 and 75,942

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Solution

The third proportional to 53,428 and 75,942 is: 107,943.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,428 : 75,942 = 75,942 : x
  2. Step 2: Convert to fraction form
    53,428/75,942 = 75,942/x
  3. Step 3: Cross multiply
    53,428x = 75,942 × 75,942
  4. Step 4: Simplify right side
    53,428x = 5,767,187,364
  5. Step 5: Solve for x
    x = 5,767,187,364/53,428
  6. Step 6: Final answer
    x = 107,943.16

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.