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Finding the Third Proportional to 61,299 and 93,730.50

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Solution

The third proportional to 61,299 and 93,730.50 is: 143,320.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,299 : 93,730.50 = 93,730.50 : x
  2. Step 2: Convert to fraction form
    61,299/93,730.50 = 93,730.50/x
  3. Step 3: Cross multiply
    61,299x = 93,730.50 × 93,730.50
  4. Step 4: Simplify right side
    61,299x = 8,785,406,630.25
  5. Step 5: Solve for x
    x = 8,785,406,630.25/61,299
  6. Step 6: Final answer
    x = 143,320.55

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.