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Finding the Third Proportional to 50,598 and 72,877.50

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Solution

The third proportional to 50,598 and 72,877.50 is: 104,967.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,598 : 72,877.50 = 72,877.50 : x
  2. Step 2: Convert to fraction form
    50,598/72,877.50 = 72,877.50/x
  3. Step 3: Cross multiply
    50,598x = 72,877.50 × 72,877.50
  4. Step 4: Simplify right side
    50,598x = 5,311,130,006.25
  5. Step 5: Solve for x
    x = 5,311,130,006.25/50,598
  6. Step 6: Final answer
    x = 104,967.19

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.