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Finding the Third Proportional to 101,988 and 157,527

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Solution

The third proportional to 101,988 and 157,527 is: 243,310.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,988 : 157,527 = 157,527 : x
  2. Step 2: Convert to fraction form
    101,988/157,527 = 157,527/x
  3. Step 3: Cross multiply
    101,988x = 157,527 × 157,527
  4. Step 4: Simplify right side
    101,988x = 24,814,755,729
  5. Step 5: Solve for x
    x = 24,814,755,729/101,988
  6. Step 6: Final answer
    x = 243,310.54

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.