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Finding the Third Proportional to 60,719.63 and 96,000.19

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Solution

The third proportional to 60,719.63 and 96,000.19 is: 151,780.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,719.63 : 96,000.19 = 96,000.19 : x
  2. Step 2: Convert to fraction form
    60,719.63/96,000.19 = 96,000.19/x
  3. Step 3: Cross multiply
    60,719.63x = 96,000.19 × 96,000.19
  4. Step 4: Simplify right side
    60,719.63x = 9,216,036,000.04
  5. Step 5: Solve for x
    x = 9,216,036,000.04/60,719.63
  6. Step 6: Final answer
    x = 151,780.19

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.