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Finding the Third Proportional to 72,798.75 and 155,719.13

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Solution

The third proportional to 72,798.75 and 155,719.13 is: 333,088.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,798.75 : 155,719.13 = 155,719.13 : x
  2. Step 2: Convert to fraction form
    72,798.75/155,719.13 = 155,719.13/x
  3. Step 3: Cross multiply
    72,798.75x = 155,719.13 × 155,719.13
  4. Step 4: Simplify right side
    72,798.75x = 24,248,445,890.77
  5. Step 5: Solve for x
    x = 24,248,445,890.77/72,798.75
  6. Step 6: Final answer
    x = 333,088.77

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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.