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Finding the Third Proportional to 59,520 and 92,160

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Solution

The third proportional to 59,520 and 92,160 is: 142,699.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,520 : 92,160 = 92,160 : x
  2. Step 2: Convert to fraction form
    59,520/92,160 = 92,160/x
  3. Step 3: Cross multiply
    59,520x = 92,160 × 92,160
  4. Step 4: Simplify right side
    59,520x = 8,493,465,600
  5. Step 5: Solve for x
    x = 8,493,465,600/59,520
  6. Step 6: Final answer
    x = 142,699.35

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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.