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Finding the Third Proportional to 68,407 and 98,985

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Solution

The third proportional to 68,407 and 98,985 is: 143,231.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,407 : 98,985 = 98,985 : x
  2. Step 2: Convert to fraction form
    68,407/98,985 = 98,985/x
  3. Step 3: Cross multiply
    68,407x = 98,985 × 98,985
  4. Step 4: Simplify right side
    68,407x = 9,798,030,225
  5. Step 5: Solve for x
    x = 9,798,030,225/68,407
  6. Step 6: Final answer
    x = 143,231.40

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These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.