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Finding the Third Proportional to 113,070 and 153,561

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Solution

The third proportional to 113,070 and 153,561 is: 208,552.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,070 : 153,561 = 153,561 : x
  2. Step 2: Convert to fraction form
    113,070/153,561 = 153,561/x
  3. Step 3: Cross multiply
    113,070x = 153,561 × 153,561
  4. Step 4: Simplify right side
    113,070x = 23,580,980,721
  5. Step 5: Solve for x
    x = 23,580,980,721/113,070
  6. Step 6: Final answer
    x = 208,552.05

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.