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Finding the Third Proportional to 61,170 and 134,758.50

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Solution

The third proportional to 61,170 and 134,758.50 is: 296,875.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,170 : 134,758.50 = 134,758.50 : x
  2. Step 2: Convert to fraction form
    61,170/134,758.50 = 134,758.50/x
  3. Step 3: Cross multiply
    61,170x = 134,758.50 × 134,758.50
  4. Step 4: Simplify right side
    61,170x = 18,159,853,322.25
  5. Step 5: Solve for x
    x = 18,159,853,322.25/61,170
  6. Step 6: Final answer
    x = 296,875.16

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.