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Finding the Third Proportional to 72,338 and 110,592

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Solution

The third proportional to 72,338 and 110,592 is: 169,075.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,338 : 110,592 = 110,592 : x
  2. Step 2: Convert to fraction form
    72,338/110,592 = 110,592/x
  3. Step 3: Cross multiply
    72,338x = 110,592 × 110,592
  4. Step 4: Simplify right side
    72,338x = 12,230,590,464
  5. Step 5: Solve for x
    x = 12,230,590,464/72,338
  6. Step 6: Final answer
    x = 169,075.60

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.