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Finding the Third Proportional to 96,643 and 144,514

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Solution

The third proportional to 96,643 and 144,514 is: 216,097.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,643 : 144,514 = 144,514 : x
  2. Step 2: Convert to fraction form
    96,643/144,514 = 144,514/x
  3. Step 3: Cross multiply
    96,643x = 144,514 × 144,514
  4. Step 4: Simplify right side
    96,643x = 20,884,296,196
  5. Step 5: Solve for x
    x = 20,884,296,196/96,643
  6. Step 6: Final answer
    x = 216,097.35

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.