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Finding the Third Proportional to 70,457.06 and 109,266.19

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Solution

The third proportional to 70,457.06 and 109,266.19 is: 169,452.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,457.06 : 109,266.19 = 109,266.19 : x
  2. Step 2: Convert to fraction form
    70,457.06/109,266.19 = 109,266.19/x
  3. Step 3: Cross multiply
    70,457.06x = 109,266.19 × 109,266.19
  4. Step 4: Simplify right side
    70,457.06x = 11,939,099,730.79
  5. Step 5: Solve for x
    x = 11,939,099,730.79/70,457.06
  6. Step 6: Final answer
    x = 169,452.14

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.