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Finding the Third Proportional to 64,938 and 141,787.50

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Solution

The third proportional to 64,938 and 141,787.50 is: 309,582.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,938 : 141,787.50 = 141,787.50 : x
  2. Step 2: Convert to fraction form
    64,938/141,787.50 = 141,787.50/x
  3. Step 3: Cross multiply
    64,938x = 141,787.50 × 141,787.50
  4. Step 4: Simplify right side
    64,938x = 20,103,695,156.25
  5. Step 5: Solve for x
    x = 20,103,695,156.25/64,938
  6. Step 6: Final answer
    x = 309,582.91

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.