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Finding the Third Proportional to 98,388 and 148,754

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Solution

The third proportional to 98,388 and 148,754 is: 224,902.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,388 : 148,754 = 148,754 : x
  2. Step 2: Convert to fraction form
    98,388/148,754 = 148,754/x
  3. Step 3: Cross multiply
    98,388x = 148,754 × 148,754
  4. Step 4: Simplify right side
    98,388x = 22,127,752,516
  5. Step 5: Solve for x
    x = 22,127,752,516/98,388
  6. Step 6: Final answer
    x = 224,902.96

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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.