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Finding the Third Proportional to 61,364.25 and 90,023.06

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Solution

The third proportional to 61,364.25 and 90,023.06 is: 132,066.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,364.25 : 90,023.06 = 90,023.06 : x
  2. Step 2: Convert to fraction form
    61,364.25/90,023.06 = 90,023.06/x
  3. Step 3: Cross multiply
    61,364.25x = 90,023.06 × 90,023.06
  4. Step 4: Simplify right side
    61,364.25x = 8,104,151,781.88
  5. Step 5: Solve for x
    x = 8,104,151,781.88/61,364.25
  6. Step 6: Final answer
    x = 132,066.34

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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.