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Finding the Third Proportional to 53,119.13 and 77,764.50

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Solution

The third proportional to 53,119.13 and 77,764.50 is: 113,844.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,119.13 : 77,764.50 = 77,764.50 : x
  2. Step 2: Convert to fraction form
    53,119.13/77,764.50 = 77,764.50/x
  3. Step 3: Cross multiply
    53,119.13x = 77,764.50 × 77,764.50
  4. Step 4: Simplify right side
    53,119.13x = 6,047,317,460.25
  5. Step 5: Solve for x
    x = 6,047,317,460.25/53,119.13
  6. Step 6: Final answer
    x = 113,844.45

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.