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Finding the Third Proportional to 52,537 and 114,004.50

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Solution

The third proportional to 52,537 and 114,004.50 is: 247,388.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,537 : 114,004.50 = 114,004.50 : x
  2. Step 2: Convert to fraction form
    52,537/114,004.50 = 114,004.50/x
  3. Step 3: Cross multiply
    52,537x = 114,004.50 × 114,004.50
  4. Step 4: Simplify right side
    52,537x = 12,997,026,020.25
  5. Step 5: Solve for x
    x = 12,997,026,020.25/52,537
  6. Step 6: Final answer
    x = 247,388.05

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.