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Finding the Third Proportional to 58,960 and 93,359

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Solution

The third proportional to 58,960 and 93,359 is: 147,827.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,960 : 93,359 = 93,359 : x
  2. Step 2: Convert to fraction form
    58,960/93,359 = 93,359/x
  3. Step 3: Cross multiply
    58,960x = 93,359 × 93,359
  4. Step 4: Simplify right side
    58,960x = 8,715,902,881
  5. Step 5: Solve for x
    x = 8,715,902,881/58,960
  6. Step 6: Final answer
    x = 147,827.39

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.