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Finding the Third Proportional to 98,712 and 144,382

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Solution

The third proportional to 98,712 and 144,382 is: 211,181.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,712 : 144,382 = 144,382 : x
  2. Step 2: Convert to fraction form
    98,712/144,382 = 144,382/x
  3. Step 3: Cross multiply
    98,712x = 144,382 × 144,382
  4. Step 4: Simplify right side
    98,712x = 20,846,161,924
  5. Step 5: Solve for x
    x = 20,846,161,924/98,712
  6. Step 6: Final answer
    x = 211,181.64

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.