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Finding the Third Proportional to 67,303.50 and 101,118

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Solution

The third proportional to 67,303.50 and 101,118 is: 151,921.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,303.50 : 101,118 = 101,118 : x
  2. Step 2: Convert to fraction form
    67,303.50/101,118 = 101,118/x
  3. Step 3: Cross multiply
    67,303.50x = 101,118 × 101,118
  4. Step 4: Simplify right side
    67,303.50x = 10,224,849,924
  5. Step 5: Solve for x
    x = 10,224,849,924/67,303.50
  6. Step 6: Final answer
    x = 151,921.52

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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.