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Finding the Third Proportional to 61,509.50 and 134,507

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Solution

The third proportional to 61,509.50 and 134,507 is: 294,135.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,509.50 : 134,507 = 134,507 : x
  2. Step 2: Convert to fraction form
    61,509.50/134,507 = 134,507/x
  3. Step 3: Cross multiply
    61,509.50x = 134,507 × 134,507
  4. Step 4: Simplify right side
    61,509.50x = 18,092,133,049
  5. Step 5: Solve for x
    x = 18,092,133,049/61,509.50
  6. Step 6: Final answer
    x = 294,135.59

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