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Finding the Third Proportional to 52,434.75 and 83,066.63

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Solution

The third proportional to 52,434.75 and 83,066.63 is: 131,593.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,434.75 : 83,066.63 = 83,066.63 : x
  2. Step 2: Convert to fraction form
    52,434.75/83,066.63 = 83,066.63/x
  3. Step 3: Cross multiply
    52,434.75x = 83,066.63 × 83,066.63
  4. Step 4: Simplify right side
    52,434.75x = 6,900,064,188.89
  5. Step 5: Solve for x
    x = 6,900,064,188.89/52,434.75
  6. Step 6: Final answer
    x = 131,593.35

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.