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Finding the Third Proportional to 89,068 and 118,971

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Solution

The third proportional to 89,068 and 118,971 is: 158,913.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,068 : 118,971 = 118,971 : x
  2. Step 2: Convert to fraction form
    89,068/118,971 = 118,971/x
  3. Step 3: Cross multiply
    89,068x = 118,971 × 118,971
  4. Step 4: Simplify right side
    89,068x = 14,154,098,841
  5. Step 5: Solve for x
    x = 14,154,098,841/89,068
  6. Step 6: Final answer
    x = 158,913.40

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These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.