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Finding the Third Proportional to 67,308 and 98,514

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Solution

The third proportional to 67,308 and 98,514 is: 144,188.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,308 : 98,514 = 98,514 : x
  2. Step 2: Convert to fraction form
    67,308/98,514 = 98,514/x
  3. Step 3: Cross multiply
    67,308x = 98,514 × 98,514
  4. Step 4: Simplify right side
    67,308x = 9,705,008,196
  5. Step 5: Solve for x
    x = 9,705,008,196/67,308
  6. Step 6: Final answer
    x = 144,188.03

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