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Finding the Third Proportional to 57,852 and 87,506

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Solution

The third proportional to 57,852 and 87,506 is: 132,360.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,852 : 87,506 = 87,506 : x
  2. Step 2: Convert to fraction form
    57,852/87,506 = 87,506/x
  3. Step 3: Cross multiply
    57,852x = 87,506 × 87,506
  4. Step 4: Simplify right side
    57,852x = 7,657,300,036
  5. Step 5: Solve for x
    x = 7,657,300,036/57,852
  6. Step 6: Final answer
    x = 132,360.16

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.