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Finding the Third Proportional to 66,430.13 and 89,496.14

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Solution

The third proportional to 66,430.13 and 89,496.14 is: 120,571.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,430.13 : 89,496.14 = 89,496.14 : x
  2. Step 2: Convert to fraction form
    66,430.13/89,496.14 = 89,496.14/x
  3. Step 3: Cross multiply
    66,430.13x = 89,496.14 × 89,496.14
  4. Step 4: Simplify right side
    66,430.13x = 8,009,559,186.77
  5. Step 5: Solve for x
    x = 8,009,559,186.77/66,430.13
  6. Step 6: Final answer
    x = 120,571.19

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.