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Finding the Third Proportional to 65,594 and 144,970.50

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Solution

The third proportional to 65,594 and 144,970.50 is: 320,401.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,594 : 144,970.50 = 144,970.50 : x
  2. Step 2: Convert to fraction form
    65,594/144,970.50 = 144,970.50/x
  3. Step 3: Cross multiply
    65,594x = 144,970.50 × 144,970.50
  4. Step 4: Simplify right side
    65,594x = 21,016,445,870.25
  5. Step 5: Solve for x
    x = 21,016,445,870.25/65,594
  6. Step 6: Final answer
    x = 320,401.96

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.