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Finding the Third Proportional to 64,357.03 and 97,853.06

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Solution

The third proportional to 64,357.03 and 97,853.06 is: 148,782.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,357.03 : 97,853.06 = 97,853.06 : x
  2. Step 2: Convert to fraction form
    64,357.03/97,853.06 = 97,853.06/x
  3. Step 3: Cross multiply
    64,357.03x = 97,853.06 × 97,853.06
  4. Step 4: Simplify right side
    64,357.03x = 9,575,221,840.63
  5. Step 5: Solve for x
    x = 9,575,221,840.63/64,357.03
  6. Step 6: Final answer
    x = 148,782.84

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.