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Finding the Third Proportional to 60,288.75 and 130,953.75

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Solution

The third proportional to 60,288.75 and 130,953.75 is: 284,445.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,288.75 : 130,953.75 = 130,953.75 : x
  2. Step 2: Convert to fraction form
    60,288.75/130,953.75 = 130,953.75/x
  3. Step 3: Cross multiply
    60,288.75x = 130,953.75 × 130,953.75
  4. Step 4: Simplify right side
    60,288.75x = 17,148,884,639.06
  5. Step 5: Solve for x
    x = 17,148,884,639.06/60,288.75
  6. Step 6: Final answer
    x = 284,445.85

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Why These Related Problems?

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