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Finding the Third Proportional to 59,881 and 93,935.50

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Solution

The third proportional to 59,881 and 93,935.50 is: 147,356.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,881 : 93,935.50 = 93,935.50 : x
  2. Step 2: Convert to fraction form
    59,881/93,935.50 = 93,935.50/x
  3. Step 3: Cross multiply
    59,881x = 93,935.50 × 93,935.50
  4. Step 4: Simplify right side
    59,881x = 8,823,878,160.25
  5. Step 5: Solve for x
    x = 8,823,878,160.25/59,881
  6. Step 6: Final answer
    x = 147,356.89

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.