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Finding the Third Proportional to 97,717.13 and 146,000.06

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Solution

The third proportional to 97,717.13 and 146,000.06 is: 218,140.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,717.13 : 146,000.06 = 146,000.06 : x
  2. Step 2: Convert to fraction form
    97,717.13/146,000.06 = 146,000.06/x
  3. Step 3: Cross multiply
    97,717.13x = 146,000.06 × 146,000.06
  4. Step 4: Simplify right side
    97,717.13x = 21,316,018,250.00
  5. Step 5: Solve for x
    x = 21,316,018,250.00/97,717.13
  6. Step 6: Final answer
    x = 218,140.05

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.