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Finding the Third Proportional to 65,776 and 98,276

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Solution

The third proportional to 65,776 and 98,276 is: 146,834.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,776 : 98,276 = 98,276 : x
  2. Step 2: Convert to fraction form
    65,776/98,276 = 98,276/x
  3. Step 3: Cross multiply
    65,776x = 98,276 × 98,276
  4. Step 4: Simplify right side
    65,776x = 9,658,172,176
  5. Step 5: Solve for x
    x = 9,658,172,176/65,776
  6. Step 6: Final answer
    x = 146,834.29

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.