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Finding the Third Proportional to 98,650 and 152,579

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Solution

The third proportional to 98,650 and 152,579 is: 235,989.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,650 : 152,579 = 152,579 : x
  2. Step 2: Convert to fraction form
    98,650/152,579 = 152,579/x
  3. Step 3: Cross multiply
    98,650x = 152,579 × 152,579
  4. Step 4: Simplify right side
    98,650x = 23,280,351,241
  5. Step 5: Solve for x
    x = 23,280,351,241/98,650
  6. Step 6: Final answer
    x = 235,989.37

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.