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Finding the Third Proportional to 70,053.75 and 105,808.50

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Solution

The third proportional to 70,053.75 and 105,808.50 is: 159,812.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,053.75 : 105,808.50 = 105,808.50 : x
  2. Step 2: Convert to fraction form
    70,053.75/105,808.50 = 105,808.50/x
  3. Step 3: Cross multiply
    70,053.75x = 105,808.50 × 105,808.50
  4. Step 4: Simplify right side
    70,053.75x = 11,195,438,672.25
  5. Step 5: Solve for x
    x = 11,195,438,672.25/70,053.75
  6. Step 6: Final answer
    x = 159,812.13

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.