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Finding the Third Proportional to 67,064 and 145,017.50

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Solution

The third proportional to 67,064 and 145,017.50 is: 313,582.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,064 : 145,017.50 = 145,017.50 : x
  2. Step 2: Convert to fraction form
    67,064/145,017.50 = 145,017.50/x
  3. Step 3: Cross multiply
    67,064x = 145,017.50 × 145,017.50
  4. Step 4: Simplify right side
    67,064x = 21,030,075,306.25
  5. Step 5: Solve for x
    x = 21,030,075,306.25/67,064
  6. Step 6: Final answer
    x = 313,582.18

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.