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Finding the Third Proportional to 85,995 and 130,290.50

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Solution

The third proportional to 85,995 and 130,290.50 is: 197,402.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,995 : 130,290.50 = 130,290.50 : x
  2. Step 2: Convert to fraction form
    85,995/130,290.50 = 130,290.50/x
  3. Step 3: Cross multiply
    85,995x = 130,290.50 × 130,290.50
  4. Step 4: Simplify right side
    85,995x = 16,975,614,390.25
  5. Step 5: Solve for x
    x = 16,975,614,390.25/85,995
  6. Step 6: Final answer
    x = 197,402.34

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.