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Finding the Third Proportional to 124,912 and 180,560

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Solution

The third proportional to 124,912 and 180,560 is: 260,999.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,912 : 180,560 = 180,560 : x
  2. Step 2: Convert to fraction form
    124,912/180,560 = 180,560/x
  3. Step 3: Cross multiply
    124,912x = 180,560 × 180,560
  4. Step 4: Simplify right side
    124,912x = 32,601,913,600
  5. Step 5: Solve for x
    x = 32,601,913,600/124,912
  6. Step 6: Final answer
    x = 260,999.05

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.