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Finding the Third Proportional to 70,152 and 111,072

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Solution

The third proportional to 70,152 and 111,072 is: 175,860.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,152 : 111,072 = 111,072 : x
  2. Step 2: Convert to fraction form
    70,152/111,072 = 111,072/x
  3. Step 3: Cross multiply
    70,152x = 111,072 × 111,072
  4. Step 4: Simplify right side
    70,152x = 12,336,989,184
  5. Step 5: Solve for x
    x = 12,336,989,184/70,152
  6. Step 6: Final answer
    x = 175,860.83

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.