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Finding the Third Proportional to 98,514 and 152,829

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Solution

The third proportional to 98,514 and 152,829 is: 237,090.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,514 : 152,829 = 152,829 : x
  2. Step 2: Convert to fraction form
    98,514/152,829 = 152,829/x
  3. Step 3: Cross multiply
    98,514x = 152,829 × 152,829
  4. Step 4: Simplify right side
    98,514x = 23,356,703,241
  5. Step 5: Solve for x
    x = 23,356,703,241/98,514
  6. Step 6: Final answer
    x = 237,090.19

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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.