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Finding the Third Proportional to 125,757 and 190,261.13

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Solution

The third proportional to 125,757 and 190,261.13 is: 287,851.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,757 : 190,261.13 = 190,261.13 : x
  2. Step 2: Convert to fraction form
    125,757/190,261.13 = 190,261.13/x
  3. Step 3: Cross multiply
    125,757x = 190,261.13 × 190,261.13
  4. Step 4: Simplify right side
    125,757x = 36,199,295,686.27
  5. Step 5: Solve for x
    x = 36,199,295,686.27/125,757
  6. Step 6: Final answer
    x = 287,851.14

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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.