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Finding the Third Proportional to 98,637 and 152,559

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Solution

The third proportional to 98,637 and 152,559 is: 235,958.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,637 : 152,559 = 152,559 : x
  2. Step 2: Convert to fraction form
    98,637/152,559 = 152,559/x
  3. Step 3: Cross multiply
    98,637x = 152,559 × 152,559
  4. Step 4: Simplify right side
    98,637x = 23,274,248,481
  5. Step 5: Solve for x
    x = 23,274,248,481/98,637
  6. Step 6: Final answer
    x = 235,958.60

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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.