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Finding the Third Proportional to 72,584 and 98,506

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Solution

The third proportional to 72,584 and 98,506 is: 133,685.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,584 : 98,506 = 98,506 : x
  2. Step 2: Convert to fraction form
    72,584/98,506 = 98,506/x
  3. Step 3: Cross multiply
    72,584x = 98,506 × 98,506
  4. Step 4: Simplify right side
    72,584x = 9,703,432,036
  5. Step 5: Solve for x
    x = 9,703,432,036/72,584
  6. Step 6: Final answer
    x = 133,685.55

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.