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Finding the Third Proportional to 85,069.13 and 130,577.63

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Solution

The third proportional to 85,069.13 and 130,577.63 is: 200,431.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,069.13 : 130,577.63 = 130,577.63 : x
  2. Step 2: Convert to fraction form
    85,069.13/130,577.63 = 130,577.63/x
  3. Step 3: Cross multiply
    85,069.13x = 130,577.63 × 130,577.63
  4. Step 4: Simplify right side
    85,069.13x = 17,050,516,150.64
  5. Step 5: Solve for x
    x = 17,050,516,150.64/85,069.13
  6. Step 6: Final answer
    x = 200,431.31

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.