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Finding the Third Proportional to 52,590 and 113,656.50

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Solution

The third proportional to 52,590 and 113,656.50 is: 245,632.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,590 : 113,656.50 = 113,656.50 : x
  2. Step 2: Convert to fraction form
    52,590/113,656.50 = 113,656.50/x
  3. Step 3: Cross multiply
    52,590x = 113,656.50 × 113,656.50
  4. Step 4: Simplify right side
    52,590x = 12,917,799,992.25
  5. Step 5: Solve for x
    x = 12,917,799,992.25/52,590
  6. Step 6: Final answer
    x = 245,632.25

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.