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Finding the Third Proportional to 98,642 and 152,567

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Solution

The third proportional to 98,642 and 152,567 is: 235,971.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,642 : 152,567 = 152,567 : x
  2. Step 2: Convert to fraction form
    98,642/152,567 = 152,567/x
  3. Step 3: Cross multiply
    98,642x = 152,567 × 152,567
  4. Step 4: Simplify right side
    98,642x = 23,276,689,489
  5. Step 5: Solve for x
    x = 23,276,689,489/98,642
  6. Step 6: Final answer
    x = 235,971.39

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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.