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Finding the Third Proportional to 72,495 and 110,905.88

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Solution

The third proportional to 72,495 and 110,905.88 is: 169,668.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,495 : 110,905.88 = 110,905.88 : x
  2. Step 2: Convert to fraction form
    72,495/110,905.88 = 110,905.88/x
  3. Step 3: Cross multiply
    72,495x = 110,905.88 × 110,905.88
  4. Step 4: Simplify right side
    72,495x = 12,300,113,109.52
  5. Step 5: Solve for x
    x = 12,300,113,109.52/72,495
  6. Step 6: Final answer
    x = 169,668.43

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