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Finding the Third Proportional to 58,904 and 93,820

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Solution

The third proportional to 58,904 and 93,820 is: 149,432.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,904 : 93,820 = 93,820 : x
  2. Step 2: Convert to fraction form
    58,904/93,820 = 93,820/x
  3. Step 3: Cross multiply
    58,904x = 93,820 × 93,820
  4. Step 4: Simplify right side
    58,904x = 8,802,192,400
  5. Step 5: Solve for x
    x = 8,802,192,400/58,904
  6. Step 6: Final answer
    x = 149,432.85

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.