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Finding the Third Proportional to 53,913 and 116,988.50

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Solution

The third proportional to 53,913 and 116,988.50 is: 253,859.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,913 : 116,988.50 = 116,988.50 : x
  2. Step 2: Convert to fraction form
    53,913/116,988.50 = 116,988.50/x
  3. Step 3: Cross multiply
    53,913x = 116,988.50 × 116,988.50
  4. Step 4: Simplify right side
    53,913x = 13,686,309,132.25
  5. Step 5: Solve for x
    x = 13,686,309,132.25/53,913
  6. Step 6: Final answer
    x = 253,859.16

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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.