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Finding the Third Proportional to 53,139 and 72,205.50

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Solution

The third proportional to 53,139 and 72,205.50 is: 98,113.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,139 : 72,205.50 = 72,205.50 : x
  2. Step 2: Convert to fraction form
    53,139/72,205.50 = 72,205.50/x
  3. Step 3: Cross multiply
    53,139x = 72,205.50 × 72,205.50
  4. Step 4: Simplify right side
    53,139x = 5,213,634,230.25
  5. Step 5: Solve for x
    x = 5,213,634,230.25/53,139
  6. Step 6: Final answer
    x = 98,113.14

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.