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Finding the Third Proportional to 98,387 and 148,752.50

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Solution

The third proportional to 98,387 and 148,752.50 is: 224,900.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,387 : 148,752.50 = 148,752.50 : x
  2. Step 2: Convert to fraction form
    98,387/148,752.50 = 148,752.50/x
  3. Step 3: Cross multiply
    98,387x = 148,752.50 × 148,752.50
  4. Step 4: Simplify right side
    98,387x = 22,127,306,256.25
  5. Step 5: Solve for x
    x = 22,127,306,256.25/98,387
  6. Step 6: Final answer
    x = 224,900.71

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.