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Finding the Third Proportional to 109,267 and 168,752.50

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Solution

The third proportional to 109,267 and 168,752.50 is: 260,622.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,267 : 168,752.50 = 168,752.50 : x
  2. Step 2: Convert to fraction form
    109,267/168,752.50 = 168,752.50/x
  3. Step 3: Cross multiply
    109,267x = 168,752.50 × 168,752.50
  4. Step 4: Simplify right side
    109,267x = 28,477,406,256.25
  5. Step 5: Solve for x
    x = 28,477,406,256.25/109,267
  6. Step 6: Final answer
    x = 260,622.20

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.