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Finding the Third Proportional to 69,657 and 101,566

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Solution

The third proportional to 69,657 and 101,566 is: 148,092.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,657 : 101,566 = 101,566 : x
  2. Step 2: Convert to fraction form
    69,657/101,566 = 101,566/x
  3. Step 3: Cross multiply
    69,657x = 101,566 × 101,566
  4. Step 4: Simplify right side
    69,657x = 10,315,652,356
  5. Step 5: Solve for x
    x = 10,315,652,356/69,657
  6. Step 6: Final answer
    x = 148,092.11

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.