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Finding the Third Proportional to 98,643 and 146,442

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Solution

The third proportional to 98,643 and 146,442 is: 217,402.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,643 : 146,442 = 146,442 : x
  2. Step 2: Convert to fraction form
    98,643/146,442 = 146,442/x
  3. Step 3: Cross multiply
    98,643x = 146,442 × 146,442
  4. Step 4: Simplify right side
    98,643x = 21,445,259,364
  5. Step 5: Solve for x
    x = 21,445,259,364/98,643
  6. Step 6: Final answer
    x = 217,402.75

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.