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Finding the Third Proportional to 73,579 and 116,587

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Solution

The third proportional to 73,579 and 116,587 is: 184,733.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,579 : 116,587 = 116,587 : x
  2. Step 2: Convert to fraction form
    73,579/116,587 = 116,587/x
  3. Step 3: Cross multiply
    73,579x = 116,587 × 116,587
  4. Step 4: Simplify right side
    73,579x = 13,592,528,569
  5. Step 5: Solve for x
    x = 13,592,528,569/73,579
  6. Step 6: Final answer
    x = 184,733.80

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.