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Finding the Third Proportional to 70,210 and 114,630

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Solution

The third proportional to 70,210 and 114,630 is: 187,153.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,210 : 114,630 = 114,630 : x
  2. Step 2: Convert to fraction form
    70,210/114,630 = 114,630/x
  3. Step 3: Cross multiply
    70,210x = 114,630 × 114,630
  4. Step 4: Simplify right side
    70,210x = 13,140,036,900
  5. Step 5: Solve for x
    x = 13,140,036,900/70,210
  6. Step 6: Final answer
    x = 187,153.35

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.