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Finding the Third Proportional to 71,300.25 and 93,271.50

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Solution

The third proportional to 71,300.25 and 93,271.50 is: 122,013.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,300.25 : 93,271.50 = 93,271.50 : x
  2. Step 2: Convert to fraction form
    71,300.25/93,271.50 = 93,271.50/x
  3. Step 3: Cross multiply
    71,300.25x = 93,271.50 × 93,271.50
  4. Step 4: Simplify right side
    71,300.25x = 8,699,572,712.25
  5. Step 5: Solve for x
    x = 8,699,572,712.25/71,300.25
  6. Step 6: Final answer
    x = 122,013.21

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These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.