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Finding the Third Proportional to 70,752 and 110,440

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Solution

The third proportional to 70,752 and 110,440 is: 172,390.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,752 : 110,440 = 110,440 : x
  2. Step 2: Convert to fraction form
    70,752/110,440 = 110,440/x
  3. Step 3: Cross multiply
    70,752x = 110,440 × 110,440
  4. Step 4: Simplify right side
    70,752x = 12,196,993,600
  5. Step 5: Solve for x
    x = 12,196,993,600/70,752
  6. Step 6: Final answer
    x = 172,390.80

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.