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Finding the Third Proportional to 42,966 and 63,133.50

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Solution

The third proportional to 42,966 and 63,133.50 is: 92,767.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,966 : 63,133.50 = 63,133.50 : x
  2. Step 2: Convert to fraction form
    42,966/63,133.50 = 63,133.50/x
  3. Step 3: Cross multiply
    42,966x = 63,133.50 × 63,133.50
  4. Step 4: Simplify right side
    42,966x = 3,985,838,822.25
  5. Step 5: Solve for x
    x = 3,985,838,822.25/42,966
  6. Step 6: Final answer
    x = 92,767.28

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.