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Finding the Third Proportional to 90,527 and 137,295

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Solution

The third proportional to 90,527 and 137,295 is: 208,224.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,527 : 137,295 = 137,295 : x
  2. Step 2: Convert to fraction form
    90,527/137,295 = 137,295/x
  3. Step 3: Cross multiply
    90,527x = 137,295 × 137,295
  4. Step 4: Simplify right side
    90,527x = 18,849,917,025
  5. Step 5: Solve for x
    x = 18,849,917,025/90,527
  6. Step 6: Final answer
    x = 208,224.25

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.