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Finding the Third Proportional to 58,496 and 91,160

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Solution

The third proportional to 58,496 and 91,160 is: 142,063.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,496 : 91,160 = 91,160 : x
  2. Step 2: Convert to fraction form
    58,496/91,160 = 91,160/x
  3. Step 3: Cross multiply
    58,496x = 91,160 × 91,160
  4. Step 4: Simplify right side
    58,496x = 8,310,145,600
  5. Step 5: Solve for x
    x = 8,310,145,600/58,496
  6. Step 6: Final answer
    x = 142,063.48

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.