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Finding the Third Proportional to 61,664.63 and 134,743.50

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Solution

The third proportional to 61,664.63 and 134,743.50 is: 294,428.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,664.63 : 134,743.50 = 134,743.50 : x
  2. Step 2: Convert to fraction form
    61,664.63/134,743.50 = 134,743.50/x
  3. Step 3: Cross multiply
    61,664.63x = 134,743.50 × 134,743.50
  4. Step 4: Simplify right side
    61,664.63x = 18,155,810,792.25
  5. Step 5: Solve for x
    x = 18,155,810,792.25/61,664.63
  6. Step 6: Final answer
    x = 294,428.30

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.