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Finding the Third Proportional to 99,134 and 153,560

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Solution

The third proportional to 99,134 and 153,560 is: 237,866.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,134 : 153,560 = 153,560 : x
  2. Step 2: Convert to fraction form
    99,134/153,560 = 153,560/x
  3. Step 3: Cross multiply
    99,134x = 153,560 × 153,560
  4. Step 4: Simplify right side
    99,134x = 23,580,673,600
  5. Step 5: Solve for x
    x = 23,580,673,600/99,134
  6. Step 6: Final answer
    x = 237,866.66

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.