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Finding the Third Proportional to 53,657.25 and 116,548.50

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Solution

The third proportional to 53,657.25 and 116,548.50 is: 253,154.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,657.25 : 116,548.50 = 116,548.50 : x
  2. Step 2: Convert to fraction form
    53,657.25/116,548.50 = 116,548.50/x
  3. Step 3: Cross multiply
    53,657.25x = 116,548.50 × 116,548.50
  4. Step 4: Simplify right side
    53,657.25x = 13,583,552,852.25
  5. Step 5: Solve for x
    x = 13,583,552,852.25/53,657.25
  6. Step 6: Final answer
    x = 253,154.10

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Why These Related Problems?

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