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Finding the Third Proportional to 73,830 and 114,537

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Solution

The third proportional to 73,830 and 114,537 is: 177,688.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,830 : 114,537 = 114,537 : x
  2. Step 2: Convert to fraction form
    73,830/114,537 = 114,537/x
  3. Step 3: Cross multiply
    73,830x = 114,537 × 114,537
  4. Step 4: Simplify right side
    73,830x = 13,118,724,369
  5. Step 5: Solve for x
    x = 13,118,724,369/73,830
  6. Step 6: Final answer
    x = 177,688.26

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.