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Finding the Third Proportional to 59,816 and 93,842

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Solution

The third proportional to 59,816 and 93,842 is: 147,223.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,816 : 93,842 = 93,842 : x
  2. Step 2: Convert to fraction form
    59,816/93,842 = 93,842/x
  3. Step 3: Cross multiply
    59,816x = 93,842 × 93,842
  4. Step 4: Simplify right side
    59,816x = 8,806,320,964
  5. Step 5: Solve for x
    x = 8,806,320,964/59,816
  6. Step 6: Final answer
    x = 147,223.50

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Why These Related Problems?

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