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Finding the Third Proportional to 58,752 and 114,552

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Solution

The third proportional to 58,752 and 114,552 is: 223,348.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,752 : 114,552 = 114,552 : x
  2. Step 2: Convert to fraction form
    58,752/114,552 = 114,552/x
  3. Step 3: Cross multiply
    58,752x = 114,552 × 114,552
  4. Step 4: Simplify right side
    58,752x = 13,122,160,704
  5. Step 5: Solve for x
    x = 13,122,160,704/58,752
  6. Step 6: Final answer
    x = 223,348.32

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.