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Finding the Third Proportional to 124,602 and 265,514

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Solution

The third proportional to 124,602 and 265,514 is: 565,782.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,602 : 265,514 = 265,514 : x
  2. Step 2: Convert to fraction form
    124,602/265,514 = 265,514/x
  3. Step 3: Cross multiply
    124,602x = 265,514 × 265,514
  4. Step 4: Simplify right side
    124,602x = 70,497,684,196
  5. Step 5: Solve for x
    x = 70,497,684,196/124,602
  6. Step 6: Final answer
    x = 565,782.93

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Why These Related Problems?

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