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Finding the Third Proportional to 96,582 and 153,681

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Solution

The third proportional to 96,582 and 153,681 is: 244,536.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,582 : 153,681 = 153,681 : x
  2. Step 2: Convert to fraction form
    96,582/153,681 = 153,681/x
  3. Step 3: Cross multiply
    96,582x = 153,681 × 153,681
  4. Step 4: Simplify right side
    96,582x = 23,617,849,761
  5. Step 5: Solve for x
    x = 23,617,849,761/96,582
  6. Step 6: Final answer
    x = 244,536.76

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.