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Finding the Third Proportional to 45,688 and 99,136

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Solution

The third proportional to 45,688 and 99,136 is: 215,110.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,688 : 99,136 = 99,136 : x
  2. Step 2: Convert to fraction form
    45,688/99,136 = 99,136/x
  3. Step 3: Cross multiply
    45,688x = 99,136 × 99,136
  4. Step 4: Simplify right side
    45,688x = 9,827,946,496
  5. Step 5: Solve for x
    x = 9,827,946,496/45,688
  6. Step 6: Final answer
    x = 215,110.02

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.