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Finding the Third Proportional to 46,739 and 70,095

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Solution

The third proportional to 46,739 and 70,095 is: 105,122.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,739 : 70,095 = 70,095 : x
  2. Step 2: Convert to fraction form
    46,739/70,095 = 70,095/x
  3. Step 3: Cross multiply
    46,739x = 70,095 × 70,095
  4. Step 4: Simplify right side
    46,739x = 4,913,309,025
  5. Step 5: Solve for x
    x = 4,913,309,025/46,739
  6. Step 6: Final answer
    x = 105,122.25

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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.