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Finding the Third Proportional to 71,364 and 93,862

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Solution

The third proportional to 71,364 and 93,862 is: 123,452.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,364 : 93,862 = 93,862 : x
  2. Step 2: Convert to fraction form
    71,364/93,862 = 93,862/x
  3. Step 3: Cross multiply
    71,364x = 93,862 × 93,862
  4. Step 4: Simplify right side
    71,364x = 8,810,075,044
  5. Step 5: Solve for x
    x = 8,810,075,044/71,364
  6. Step 6: Final answer
    x = 123,452.65

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.