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Finding the Third Proportional to 67,065 and 93,985.50

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Solution

The third proportional to 67,065 and 93,985.50 is: 131,712.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,065 : 93,985.50 = 93,985.50 : x
  2. Step 2: Convert to fraction form
    67,065/93,985.50 = 93,985.50/x
  3. Step 3: Cross multiply
    67,065x = 93,985.50 × 93,985.50
  4. Step 4: Simplify right side
    67,065x = 8,833,274,210.25
  5. Step 5: Solve for x
    x = 8,833,274,210.25/67,065
  6. Step 6: Final answer
    x = 131,712.13

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.