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Finding the Third Proportional to 116,537 and 252,136

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Solution

The third proportional to 116,537 and 252,136 is: 545,513.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,537 : 252,136 = 252,136 : x
  2. Step 2: Convert to fraction form
    116,537/252,136 = 252,136/x
  3. Step 3: Cross multiply
    116,537x = 252,136 × 252,136
  4. Step 4: Simplify right side
    116,537x = 63,572,562,496
  5. Step 5: Solve for x
    x = 63,572,562,496/116,537
  6. Step 6: Final answer
    x = 545,513.98

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.