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Finding the Third Proportional to 113,024.25 and 153,496.13

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Solution

The third proportional to 113,024.25 and 153,496.13 is: 208,460.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,024.25 : 153,496.13 = 153,496.13 : x
  2. Step 2: Convert to fraction form
    113,024.25/153,496.13 = 153,496.13/x
  3. Step 3: Cross multiply
    113,024.25x = 153,496.13 × 153,496.13
  4. Step 4: Simplify right side
    113,024.25x = 23,561,060,390.02
  5. Step 5: Solve for x
    x = 23,561,060,390.02/113,024.25
  6. Step 6: Final answer
    x = 208,460.22

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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.