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Finding the Third Proportional to 83,312.25 and 119,053.50

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Solution

The third proportional to 83,312.25 and 119,053.50 is: 170,127.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,312.25 : 119,053.50 = 119,053.50 : x
  2. Step 2: Convert to fraction form
    83,312.25/119,053.50 = 119,053.50/x
  3. Step 3: Cross multiply
    83,312.25x = 119,053.50 × 119,053.50
  4. Step 4: Simplify right side
    83,312.25x = 14,173,735,862.25
  5. Step 5: Solve for x
    x = 14,173,735,862.25/83,312.25
  6. Step 6: Final answer
    x = 170,127.87

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.