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Finding the Third Proportional to 64,785 and 99,948

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Solution

The third proportional to 64,785 and 99,948 is: 154,196.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,785 : 99,948 = 99,948 : x
  2. Step 2: Convert to fraction form
    64,785/99,948 = 99,948/x
  3. Step 3: Cross multiply
    64,785x = 99,948 × 99,948
  4. Step 4: Simplify right side
    64,785x = 9,989,602,704
  5. Step 5: Solve for x
    x = 9,989,602,704/64,785
  6. Step 6: Final answer
    x = 154,196.23

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.