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Finding the Third Proportional to 96,417 and 148,297.50

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Solution

The third proportional to 96,417 and 148,297.50 is: 228,094.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,417 : 148,297.50 = 148,297.50 : x
  2. Step 2: Convert to fraction form
    96,417/148,297.50 = 148,297.50/x
  3. Step 3: Cross multiply
    96,417x = 148,297.50 × 148,297.50
  4. Step 4: Simplify right side
    96,417x = 21,992,148,506.25
  5. Step 5: Solve for x
    x = 21,992,148,506.25/96,417
  6. Step 6: Final answer
    x = 228,094.10

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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.