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Finding the Third Proportional to 98,912 and 148,560

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Solution

The third proportional to 98,912 and 148,560 is: 223,128.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,912 : 148,560 = 148,560 : x
  2. Step 2: Convert to fraction form
    98,912/148,560 = 148,560/x
  3. Step 3: Cross multiply
    98,912x = 148,560 × 148,560
  4. Step 4: Simplify right side
    98,912x = 22,070,073,600
  5. Step 5: Solve for x
    x = 22,070,073,600/98,912
  6. Step 6: Final answer
    x = 223,128.37

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.