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Finding the Third Proportional to 84,051 and 130,140

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Solution

The third proportional to 84,051 and 130,140 is: 201,501.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,051 : 130,140 = 130,140 : x
  2. Step 2: Convert to fraction form
    84,051/130,140 = 130,140/x
  3. Step 3: Cross multiply
    84,051x = 130,140 × 130,140
  4. Step 4: Simplify right side
    84,051x = 16,936,419,600
  5. Step 5: Solve for x
    x = 16,936,419,600/84,051
  6. Step 6: Final answer
    x = 201,501.70

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.