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Finding the Third Proportional to 94,136 and 138,066

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Solution

The third proportional to 94,136 and 138,066 is: 202,496.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,136 : 138,066 = 138,066 : x
  2. Step 2: Convert to fraction form
    94,136/138,066 = 138,066/x
  3. Step 3: Cross multiply
    94,136x = 138,066 × 138,066
  4. Step 4: Simplify right side
    94,136x = 19,062,220,356
  5. Step 5: Solve for x
    x = 19,062,220,356/94,136
  6. Step 6: Final answer
    x = 202,496.60

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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.