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Finding the Third Proportional to 61,311 and 93,748.50

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Solution

The third proportional to 61,311 and 93,748.50 is: 143,347.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,311 : 93,748.50 = 93,748.50 : x
  2. Step 2: Convert to fraction form
    61,311/93,748.50 = 93,748.50/x
  3. Step 3: Cross multiply
    61,311x = 93,748.50 × 93,748.50
  4. Step 4: Simplify right side
    61,311x = 8,788,781,252.25
  5. Step 5: Solve for x
    x = 8,788,781,252.25/61,311
  6. Step 6: Final answer
    x = 143,347.54

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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.