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Finding the Third Proportional to 109,728 and 160,430.63

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Solution

The third proportional to 109,728 and 160,430.63 is: 234,561.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,728 : 160,430.63 = 160,430.63 : x
  2. Step 2: Convert to fraction form
    109,728/160,430.63 = 160,430.63/x
  3. Step 3: Cross multiply
    109,728x = 160,430.63 × 160,430.63
  4. Step 4: Simplify right side
    109,728x = 25,737,985,437.89
  5. Step 5: Solve for x
    x = 25,737,985,437.89/109,728
  6. Step 6: Final answer
    x = 234,561.69

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.