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Finding the Third Proportional to 124,600 and 265,510

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Solution

The third proportional to 124,600 and 265,510 is: 565,774.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,600 : 265,510 = 265,510 : x
  2. Step 2: Convert to fraction form
    124,600/265,510 = 265,510/x
  3. Step 3: Cross multiply
    124,600x = 265,510 × 265,510
  4. Step 4: Simplify right side
    124,600x = 70,495,560,100
  5. Step 5: Solve for x
    x = 70,495,560,100/124,600
  6. Step 6: Final answer
    x = 565,774.96

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.