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Finding the Third Proportional to 59,160 and 129,240

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Solution

The third proportional to 59,160 and 129,240 is: 282,335.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,160 : 129,240 = 129,240 : x
  2. Step 2: Convert to fraction form
    59,160/129,240 = 129,240/x
  3. Step 3: Cross multiply
    59,160x = 129,240 × 129,240
  4. Step 4: Simplify right side
    59,160x = 16,702,977,600
  5. Step 5: Solve for x
    x = 16,702,977,600/59,160
  6. Step 6: Final answer
    x = 282,335.66

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.