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Finding the Third Proportional to 58,964 and 91,304

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Solution

The third proportional to 58,964 and 91,304 is: 141,381.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,964 : 91,304 = 91,304 : x
  2. Step 2: Convert to fraction form
    58,964/91,304 = 91,304/x
  3. Step 3: Cross multiply
    58,964x = 91,304 × 91,304
  4. Step 4: Simplify right side
    58,964x = 8,336,420,416
  5. Step 5: Solve for x
    x = 8,336,420,416/58,964
  6. Step 6: Final answer
    x = 141,381.53

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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.