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Finding the Third Proportional to 53,339.50 and 114,587

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Solution

The third proportional to 53,339.50 and 114,587 is: 246,162.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,339.50 : 114,587 = 114,587 : x
  2. Step 2: Convert to fraction form
    53,339.50/114,587 = 114,587/x
  3. Step 3: Cross multiply
    53,339.50x = 114,587 × 114,587
  4. Step 4: Simplify right side
    53,339.50x = 13,130,180,569
  5. Step 5: Solve for x
    x = 13,130,180,569/53,339.50
  6. Step 6: Final answer
    x = 246,162.42

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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.