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Finding the Third Proportional to 85,074 and 130,585.50

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Solution

The third proportional to 85,074 and 130,585.50 is: 200,444.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,074 : 130,585.50 = 130,585.50 : x
  2. Step 2: Convert to fraction form
    85,074/130,585.50 = 130,585.50/x
  3. Step 3: Cross multiply
    85,074x = 130,585.50 × 130,585.50
  4. Step 4: Simplify right side
    85,074x = 17,052,572,810.25
  5. Step 5: Solve for x
    x = 17,052,572,810.25/85,074
  6. Step 6: Final answer
    x = 200,444.00

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