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Finding the Third Proportional to 107,346 and 157,737

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Solution

The third proportional to 107,346 and 157,737 is: 231,782.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,346 : 157,737 = 157,737 : x
  2. Step 2: Convert to fraction form
    107,346/157,737 = 157,737/x
  3. Step 3: Cross multiply
    107,346x = 157,737 × 157,737
  4. Step 4: Simplify right side
    107,346x = 24,880,961,169
  5. Step 5: Solve for x
    x = 24,880,961,169/107,346
  6. Step 6: Final answer
    x = 231,782.84

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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.