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Finding the Third Proportional to 72,064.13 and 105,319.13

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Solution

The third proportional to 72,064.13 and 105,319.13 is: 153,920.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,064.13 : 105,319.13 = 105,319.13 : x
  2. Step 2: Convert to fraction form
    72,064.13/105,319.13 = 105,319.13/x
  3. Step 3: Cross multiply
    72,064.13x = 105,319.13 × 105,319.13
  4. Step 4: Simplify right side
    72,064.13x = 11,092,118,090.77
  5. Step 5: Solve for x
    x = 11,092,118,090.77/72,064.13
  6. Step 6: Final answer
    x = 153,920.11

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.