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Finding the Third Proportional to 61,688.25 and 134,534.25

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Solution

The third proportional to 61,688.25 and 134,534.25 is: 293,402.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,688.25 : 134,534.25 = 134,534.25 : x
  2. Step 2: Convert to fraction form
    61,688.25/134,534.25 = 134,534.25/x
  3. Step 3: Cross multiply
    61,688.25x = 134,534.25 × 134,534.25
  4. Step 4: Simplify right side
    61,688.25x = 18,099,464,423.06
  5. Step 5: Solve for x
    x = 18,099,464,423.06/61,688.25
  6. Step 6: Final answer
    x = 293,402.14

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.