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Finding the Third Proportional to 61,701 and 93,310.50

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Solution

The third proportional to 61,701 and 93,310.50 is: 141,113.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,701 : 93,310.50 = 93,310.50 : x
  2. Step 2: Convert to fraction form
    61,701/93,310.50 = 93,310.50/x
  3. Step 3: Cross multiply
    61,701x = 93,310.50 × 93,310.50
  4. Step 4: Simplify right side
    61,701x = 8,706,849,410.25
  5. Step 5: Solve for x
    x = 8,706,849,410.25/61,701
  6. Step 6: Final answer
    x = 141,113.59

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.