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Finding the Third Proportional to 59,807 and 92,870

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Solution

The third proportional to 59,807 and 92,870 is: 144,211.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,807 : 92,870 = 92,870 : x
  2. Step 2: Convert to fraction form
    59,807/92,870 = 92,870/x
  3. Step 3: Cross multiply
    59,807x = 92,870 × 92,870
  4. Step 4: Simplify right side
    59,807x = 8,624,836,900
  5. Step 5: Solve for x
    x = 8,624,836,900/59,807
  6. Step 6: Final answer
    x = 144,211.16

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.