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Finding the Third Proportional to 61,358 and 91,173

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Solution

The third proportional to 61,358 and 91,173 is: 135,475.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,358 : 91,173 = 91,173 : x
  2. Step 2: Convert to fraction form
    61,358/91,173 = 91,173/x
  3. Step 3: Cross multiply
    61,358x = 91,173 × 91,173
  4. Step 4: Simplify right side
    61,358x = 8,312,515,929
  5. Step 5: Solve for x
    x = 8,312,515,929/61,358
  6. Step 6: Final answer
    x = 135,475.67

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