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Finding the Third Proportional to 99,632 and 152,340

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Solution

The third proportional to 99,632 and 152,340 is: 232,931.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,632 : 152,340 = 152,340 : x
  2. Step 2: Convert to fraction form
    99,632/152,340 = 152,340/x
  3. Step 3: Cross multiply
    99,632x = 152,340 × 152,340
  4. Step 4: Simplify right side
    99,632x = 23,207,475,600
  5. Step 5: Solve for x
    x = 23,207,475,600/99,632
  6. Step 6: Final answer
    x = 232,931.95

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.