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Finding the Third Proportional to 52,935 and 113,545.50

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Solution

The third proportional to 52,935 and 113,545.50 is: 243,554.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,935 : 113,545.50 = 113,545.50 : x
  2. Step 2: Convert to fraction form
    52,935/113,545.50 = 113,545.50/x
  3. Step 3: Cross multiply
    52,935x = 113,545.50 × 113,545.50
  4. Step 4: Simplify right side
    52,935x = 12,892,580,570.25
  5. Step 5: Solve for x
    x = 12,892,580,570.25/52,935
  6. Step 6: Final answer
    x = 243,554.94

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.