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Finding the Third Proportional to 99,729 and 153,282

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Solution

The third proportional to 99,729 and 153,282 is: 235,592.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,729 : 153,282 = 153,282 : x
  2. Step 2: Convert to fraction form
    99,729/153,282 = 153,282/x
  3. Step 3: Cross multiply
    99,729x = 153,282 × 153,282
  4. Step 4: Simplify right side
    99,729x = 23,495,371,524
  5. Step 5: Solve for x
    x = 23,495,371,524/99,729
  6. Step 6: Final answer
    x = 235,592.17

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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.