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Finding the Third Proportional to 64,445 and 97,559

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Solution

The third proportional to 64,445 and 97,559 is: 147,688.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,445 : 97,559 = 97,559 : x
  2. Step 2: Convert to fraction form
    64,445/97,559 = 97,559/x
  3. Step 3: Cross multiply
    64,445x = 97,559 × 97,559
  4. Step 4: Simplify right side
    64,445x = 9,517,758,481
  5. Step 5: Solve for x
    x = 9,517,758,481/64,445
  6. Step 6: Final answer
    x = 147,688.08

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.