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Finding the Third Proportional to 103,681 and 165,056

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Solution

The third proportional to 103,681 and 165,056 is: 262,762.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,681 : 165,056 = 165,056 : x
  2. Step 2: Convert to fraction form
    103,681/165,056 = 165,056/x
  3. Step 3: Cross multiply
    103,681x = 165,056 × 165,056
  4. Step 4: Simplify right side
    103,681x = 27,243,483,136
  5. Step 5: Solve for x
    x = 27,243,483,136/103,681
  6. Step 6: Final answer
    x = 262,762.54

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.