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Finding the Third Proportional to 71,200.13 and 155,699.63

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Solution

The third proportional to 71,200.13 and 155,699.63 is: 340,482.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,200.13 : 155,699.63 = 155,699.63 : x
  2. Step 2: Convert to fraction form
    71,200.13/155,699.63 = 155,699.63/x
  3. Step 3: Cross multiply
    71,200.13x = 155,699.63 × 155,699.63
  4. Step 4: Simplify right side
    71,200.13x = 24,242,373,225.14
  5. Step 5: Solve for x
    x = 24,242,373,225.14/71,200.13
  6. Step 6: Final answer
    x = 340,482.17

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.