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Finding the Third Proportional to 75,700 and 159,241.50

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Solution

The third proportional to 75,700 and 159,241.50 is: 334,978.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,700 : 159,241.50 = 159,241.50 : x
  2. Step 2: Convert to fraction form
    75,700/159,241.50 = 159,241.50/x
  3. Step 3: Cross multiply
    75,700x = 159,241.50 × 159,241.50
  4. Step 4: Simplify right side
    75,700x = 25,357,855,322.25
  5. Step 5: Solve for x
    x = 25,357,855,322.25/75,700
  6. Step 6: Final answer
    x = 334,978.27

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.