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Finding the Third Proportional to 124,528 and 177,922

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Solution

The third proportional to 124,528 and 177,922 is: 254,209.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,528 : 177,922 = 177,922 : x
  2. Step 2: Convert to fraction form
    124,528/177,922 = 177,922/x
  3. Step 3: Cross multiply
    124,528x = 177,922 × 177,922
  4. Step 4: Simplify right side
    124,528x = 31,656,238,084
  5. Step 5: Solve for x
    x = 31,656,238,084/124,528
  6. Step 6: Final answer
    x = 254,209.80

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.