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Finding the Third Proportional to 64,919.06 and 97,118.81

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Solution

The third proportional to 64,919.06 and 97,118.81 is: 145,289.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,919.06 : 97,118.81 = 97,118.81 : x
  2. Step 2: Convert to fraction form
    64,919.06/97,118.81 = 97,118.81/x
  3. Step 3: Cross multiply
    64,919.06x = 97,118.81 × 97,118.81
  4. Step 4: Simplify right side
    64,919.06x = 9,432,063,741.41
  5. Step 5: Solve for x
    x = 9,432,063,741.41/64,919.06
  6. Step 6: Final answer
    x = 145,289.59

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.