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Finding the Third Proportional to 61,406.86 and 97,236.07

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Solution

The third proportional to 61,406.86 and 97,236.07 is: 153,970.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,406.86 : 97,236.07 = 97,236.07 : x
  2. Step 2: Convert to fraction form
    61,406.86/97,236.07 = 97,236.07/x
  3. Step 3: Cross multiply
    61,406.86x = 97,236.07 × 97,236.07
  4. Step 4: Simplify right side
    61,406.86x = 9,454,853,369.82
  5. Step 5: Solve for x
    x = 9,454,853,369.82/61,406.86
  6. Step 6: Final answer
    x = 153,970.64

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.