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Finding the Third Proportional to 138,051 and 202,527

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Solution

The third proportional to 138,051 and 202,527 is: 297,116.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,051 : 202,527 = 202,527 : x
  2. Step 2: Convert to fraction form
    138,051/202,527 = 202,527/x
  3. Step 3: Cross multiply
    138,051x = 202,527 × 202,527
  4. Step 4: Simplify right side
    138,051x = 41,017,185,729
  5. Step 5: Solve for x
    x = 41,017,185,729/138,051
  6. Step 6: Final answer
    x = 297,116.18

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.