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Finding the Third Proportional to 61,356 and 90,012

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Solution

The third proportional to 61,356 and 90,012 is: 132,051.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,356 : 90,012 = 90,012 : x
  2. Step 2: Convert to fraction form
    61,356/90,012 = 90,012/x
  3. Step 3: Cross multiply
    61,356x = 90,012 × 90,012
  4. Step 4: Simplify right side
    61,356x = 8,102,160,144
  5. Step 5: Solve for x
    x = 8,102,160,144/61,356
  6. Step 6: Final answer
    x = 132,051.64

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.