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Finding the Third Proportional to 98,560.50 and 149,070

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Solution

The third proportional to 98,560.50 and 149,070 is: 225,464.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,560.50 : 149,070 = 149,070 : x
  2. Step 2: Convert to fraction form
    98,560.50/149,070 = 149,070/x
  3. Step 3: Cross multiply
    98,560.50x = 149,070 × 149,070
  4. Step 4: Simplify right side
    98,560.50x = 22,221,864,900
  5. Step 5: Solve for x
    x = 22,221,864,900/98,560.50
  6. Step 6: Final answer
    x = 225,464.21

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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.