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Finding the Third Proportional to 64,053 and 97,628.63

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Solution

The third proportional to 64,053 and 97,628.63 is: 148,804.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,053 : 97,628.63 = 97,628.63 : x
  2. Step 2: Convert to fraction form
    64,053/97,628.63 = 97,628.63/x
  3. Step 3: Cross multiply
    64,053x = 97,628.63 × 97,628.63
  4. Step 4: Simplify right side
    64,053x = 9,531,348,419.39
  5. Step 5: Solve for x
    x = 9,531,348,419.39/64,053
  6. Step 6: Final answer
    x = 148,804.09

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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.