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Finding the Third Proportional to 49,430 and 76,602.50

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Solution

The third proportional to 49,430 and 76,602.50 is: 118,712.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,430 : 76,602.50 = 76,602.50 : x
  2. Step 2: Convert to fraction form
    49,430/76,602.50 = 76,602.50/x
  3. Step 3: Cross multiply
    49,430x = 76,602.50 × 76,602.50
  4. Step 4: Simplify right side
    49,430x = 5,867,943,006.25
  5. Step 5: Solve for x
    x = 5,867,943,006.25/49,430
  6. Step 6: Final answer
    x = 118,712.18

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.