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Finding the Third Proportional to 57,465 and 133,537

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Solution

The third proportional to 57,465 and 133,537 is: 310,312.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,465 : 133,537 = 133,537 : x
  2. Step 2: Convert to fraction form
    57,465/133,537 = 133,537/x
  3. Step 3: Cross multiply
    57,465x = 133,537 × 133,537
  4. Step 4: Simplify right side
    57,465x = 17,832,130,369
  5. Step 5: Solve for x
    x = 17,832,130,369/57,465
  6. Step 6: Final answer
    x = 310,312.89

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.