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Finding the Third Proportional to 61,970 and 83,523

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Solution

The third proportional to 61,970 and 83,523 is: 112,572.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,970 : 83,523 = 83,523 : x
  2. Step 2: Convert to fraction form
    61,970/83,523 = 83,523/x
  3. Step 3: Cross multiply
    61,970x = 83,523 × 83,523
  4. Step 4: Simplify right side
    61,970x = 6,976,091,529
  5. Step 5: Solve for x
    x = 6,976,091,529/61,970
  6. Step 6: Final answer
    x = 112,572.08

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.