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Finding the Third Proportional to 60,196.50 and 130,437

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Solution

The third proportional to 60,196.50 and 130,437 is: 282,637.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,196.50 : 130,437 = 130,437 : x
  2. Step 2: Convert to fraction form
    60,196.50/130,437 = 130,437/x
  3. Step 3: Cross multiply
    60,196.50x = 130,437 × 130,437
  4. Step 4: Simplify right side
    60,196.50x = 17,013,810,969
  5. Step 5: Solve for x
    x = 17,013,810,969/60,196.50
  6. Step 6: Final answer
    x = 282,637.88

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.