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Finding the Third Proportional to 67,465 and 99,010.50

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Solution

The third proportional to 67,465 and 99,010.50 is: 145,306.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,465 : 99,010.50 = 99,010.50 : x
  2. Step 2: Convert to fraction form
    67,465/99,010.50 = 99,010.50/x
  3. Step 3: Cross multiply
    67,465x = 99,010.50 × 99,010.50
  4. Step 4: Simplify right side
    67,465x = 9,803,079,110.25
  5. Step 5: Solve for x
    x = 9,803,079,110.25/67,465
  6. Step 6: Final answer
    x = 145,306.15

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.