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Finding the Third Proportional to 60,832.13 and 130,070.25

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Solution

The third proportional to 60,832.13 and 130,070.25 is: 278,114.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,832.13 : 130,070.25 = 130,070.25 : x
  2. Step 2: Convert to fraction form
    60,832.13/130,070.25 = 130,070.25/x
  3. Step 3: Cross multiply
    60,832.13x = 130,070.25 × 130,070.25
  4. Step 4: Simplify right side
    60,832.13x = 16,918,269,935.06
  5. Step 5: Solve for x
    x = 16,918,269,935.06/60,832.13
  6. Step 6: Final answer
    x = 278,114.07

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.