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Finding the Third Proportional to 111,563 and 169,961.50

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Solution

The third proportional to 111,563 and 169,961.50 is: 258,929.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,563 : 169,961.50 = 169,961.50 : x
  2. Step 2: Convert to fraction form
    111,563/169,961.50 = 169,961.50/x
  3. Step 3: Cross multiply
    111,563x = 169,961.50 × 169,961.50
  4. Step 4: Simplify right side
    111,563x = 28,886,911,482.25
  5. Step 5: Solve for x
    x = 28,886,911,482.25/111,563
  6. Step 6: Final answer
    x = 258,929.14

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.