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Finding the Third Proportional to 58,754 and 91,007

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Solution

The third proportional to 58,754 and 91,007 is: 140,965.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,754 : 91,007 = 91,007 : x
  2. Step 2: Convert to fraction form
    58,754/91,007 = 91,007/x
  3. Step 3: Cross multiply
    58,754x = 91,007 × 91,007
  4. Step 4: Simplify right side
    58,754x = 8,282,274,049
  5. Step 5: Solve for x
    x = 8,282,274,049/58,754
  6. Step 6: Final answer
    x = 140,965.28

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.