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Finding the Third Proportional to 52,046 and 111,985.50

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Solution

The third proportional to 52,046 and 111,985.50 is: 240,955.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,046 : 111,985.50 = 111,985.50 : x
  2. Step 2: Convert to fraction form
    52,046/111,985.50 = 111,985.50/x
  3. Step 3: Cross multiply
    52,046x = 111,985.50 × 111,985.50
  4. Step 4: Simplify right side
    52,046x = 12,540,752,210.25
  5. Step 5: Solve for x
    x = 12,540,752,210.25/52,046
  6. Step 6: Final answer
    x = 240,955.16

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.