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Finding the Third Proportional to 98,311 and 147,953

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Solution

The third proportional to 98,311 and 147,953 is: 222,661.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,311 : 147,953 = 147,953 : x
  2. Step 2: Convert to fraction form
    98,311/147,953 = 147,953/x
  3. Step 3: Cross multiply
    98,311x = 147,953 × 147,953
  4. Step 4: Simplify right side
    98,311x = 21,890,090,209
  5. Step 5: Solve for x
    x = 21,890,090,209/98,311
  6. Step 6: Final answer
    x = 222,661.66

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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.