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Finding the Third Proportional to 48,014 and 103,135.50

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Solution

The third proportional to 48,014 and 103,135.50 is: 221,538.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,014 : 103,135.50 = 103,135.50 : x
  2. Step 2: Convert to fraction form
    48,014/103,135.50 = 103,135.50/x
  3. Step 3: Cross multiply
    48,014x = 103,135.50 × 103,135.50
  4. Step 4: Simplify right side
    48,014x = 10,636,931,360.25
  5. Step 5: Solve for x
    x = 10,636,931,360.25/48,014
  6. Step 6: Final answer
    x = 221,538.12

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.