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Finding the Third Proportional to 98,552 and 152,202

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Solution

The third proportional to 98,552 and 152,202 is: 235,058.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,552 : 152,202 = 152,202 : x
  2. Step 2: Convert to fraction form
    98,552/152,202 = 152,202/x
  3. Step 3: Cross multiply
    98,552x = 152,202 × 152,202
  4. Step 4: Simplify right side
    98,552x = 23,165,448,804
  5. Step 5: Solve for x
    x = 23,165,448,804/98,552
  6. Step 6: Final answer
    x = 235,058.13

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.