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Finding the Third Proportional to 98,588 and 152,940

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Solution

The third proportional to 98,588 and 152,940 is: 237,256.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,588 : 152,940 = 152,940 : x
  2. Step 2: Convert to fraction form
    98,588/152,940 = 152,940/x
  3. Step 3: Cross multiply
    98,588x = 152,940 × 152,940
  4. Step 4: Simplify right side
    98,588x = 23,390,643,600
  5. Step 5: Solve for x
    x = 23,390,643,600/98,588
  6. Step 6: Final answer
    x = 237,256.50

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