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Finding the Third Proportional to 46,785 and 70,113

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Solution

The third proportional to 46,785 and 70,113 is: 105,072.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,785 : 70,113 = 70,113 : x
  2. Step 2: Convert to fraction form
    46,785/70,113 = 70,113/x
  3. Step 3: Cross multiply
    46,785x = 70,113 × 70,113
  4. Step 4: Simplify right side
    46,785x = 4,915,832,769
  5. Step 5: Solve for x
    x = 4,915,832,769/46,785
  6. Step 6: Final answer
    x = 105,072.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.