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Finding the Third Proportional to 52,527 and 75,510

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Solution

The third proportional to 52,527 and 75,510 is: 108,549.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,527 : 75,510 = 75,510 : x
  2. Step 2: Convert to fraction form
    52,527/75,510 = 75,510/x
  3. Step 3: Cross multiply
    52,527x = 75,510 × 75,510
  4. Step 4: Simplify right side
    52,527x = 5,701,760,100
  5. Step 5: Solve for x
    x = 5,701,760,100/52,527
  6. Step 6: Final answer
    x = 108,549.13

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.