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Finding the Third Proportional to 112,038 and 245,053.50

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Solution

The third proportional to 112,038 and 245,053.50 is: 535,989.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,038 : 245,053.50 = 245,053.50 : x
  2. Step 2: Convert to fraction form
    112,038/245,053.50 = 245,053.50/x
  3. Step 3: Cross multiply
    112,038x = 245,053.50 × 245,053.50
  4. Step 4: Simplify right side
    112,038x = 60,051,217,862.25
  5. Step 5: Solve for x
    x = 60,051,217,862.25/112,038
  6. Step 6: Final answer
    x = 535,989.73

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.