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Finding the Third Proportional to 117,060 and 252,840

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Solution

The third proportional to 117,060 and 252,840 is: 546,113.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,060 : 252,840 = 252,840 : x
  2. Step 2: Convert to fraction form
    117,060/252,840 = 252,840/x
  3. Step 3: Cross multiply
    117,060x = 252,840 × 252,840
  4. Step 4: Simplify right side
    117,060x = 63,928,065,600
  5. Step 5: Solve for x
    x = 63,928,065,600/117,060
  6. Step 6: Final answer
    x = 546,113.66

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.