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Finding the Third Proportional to 125,527 and 263,987

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Solution

The third proportional to 125,527 and 263,987 is: 555,172.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,527 : 263,987 = 263,987 : x
  2. Step 2: Convert to fraction form
    125,527/263,987 = 263,987/x
  3. Step 3: Cross multiply
    125,527x = 263,987 × 263,987
  4. Step 4: Simplify right side
    125,527x = 69,689,136,169
  5. Step 5: Solve for x
    x = 69,689,136,169/125,527
  6. Step 6: Final answer
    x = 555,172.48

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.