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Finding the Third Proportional to 71,507 and 107,122.50

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Solution

The third proportional to 71,507 and 107,122.50 is: 160,477.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,507 : 107,122.50 = 107,122.50 : x
  2. Step 2: Convert to fraction form
    71,507/107,122.50 = 107,122.50/x
  3. Step 3: Cross multiply
    71,507x = 107,122.50 × 107,122.50
  4. Step 4: Simplify right side
    71,507x = 11,475,230,006.25
  5. Step 5: Solve for x
    x = 11,475,230,006.25/71,507
  6. Step 6: Final answer
    x = 160,477.02

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.