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Finding the Third Proportional to 97,034 and 144,948

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Solution

The third proportional to 97,034 and 144,948 is: 216,521.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,034 : 144,948 = 144,948 : x
  2. Step 2: Convert to fraction form
    97,034/144,948 = 144,948/x
  3. Step 3: Cross multiply
    97,034x = 144,948 × 144,948
  4. Step 4: Simplify right side
    97,034x = 21,009,922,704
  5. Step 5: Solve for x
    x = 21,009,922,704/97,034
  6. Step 6: Final answer
    x = 216,521.25

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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.