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Finding the Third Proportional to 46,901 and 70,270

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Solution

The third proportional to 46,901 and 70,270 is: 105,282.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,901 : 70,270 = 70,270 : x
  2. Step 2: Convert to fraction form
    46,901/70,270 = 70,270/x
  3. Step 3: Cross multiply
    46,901x = 70,270 × 70,270
  4. Step 4: Simplify right side
    46,901x = 4,937,872,900
  5. Step 5: Solve for x
    x = 4,937,872,900/46,901
  6. Step 6: Final answer
    x = 105,282.89

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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.