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Finding the Third Proportional to 42,054 and 97,359

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Solution

The third proportional to 42,054 and 97,359 is: 225,395.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,054 : 97,359 = 97,359 : x
  2. Step 2: Convert to fraction form
    42,054/97,359 = 97,359/x
  3. Step 3: Cross multiply
    42,054x = 97,359 × 97,359
  4. Step 4: Simplify right side
    42,054x = 9,478,774,881
  5. Step 5: Solve for x
    x = 9,478,774,881/42,054
  6. Step 6: Final answer
    x = 225,395.32

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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.