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Finding the Third Proportional to 59,953.50 and 129,513

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Solution

The third proportional to 59,953.50 and 129,513 is: 279,777.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,953.50 : 129,513 = 129,513 : x
  2. Step 2: Convert to fraction form
    59,953.50/129,513 = 129,513/x
  3. Step 3: Cross multiply
    59,953.50x = 129,513 × 129,513
  4. Step 4: Simplify right side
    59,953.50x = 16,773,617,169
  5. Step 5: Solve for x
    x = 16,773,617,169/59,953.50
  6. Step 6: Final answer
    x = 279,777.11

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.