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Finding the Third Proportional to 98,394 and 148,764

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Solution

The third proportional to 98,394 and 148,764 is: 224,919.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,394 : 148,764 = 148,764 : x
  2. Step 2: Convert to fraction form
    98,394/148,764 = 148,764/x
  3. Step 3: Cross multiply
    98,394x = 148,764 × 148,764
  4. Step 4: Simplify right side
    98,394x = 22,130,727,696
  5. Step 5: Solve for x
    x = 22,130,727,696/98,394
  6. Step 6: Final answer
    x = 224,919.48

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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.