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Finding the Third Proportional to 64,516 and 97,746

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Solution

The third proportional to 64,516 and 97,746 is: 148,091.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,516 : 97,746 = 97,746 : x
  2. Step 2: Convert to fraction form
    64,516/97,746 = 97,746/x
  3. Step 3: Cross multiply
    64,516x = 97,746 × 97,746
  4. Step 4: Simplify right side
    64,516x = 9,554,280,516
  5. Step 5: Solve for x
    x = 9,554,280,516/64,516
  6. Step 6: Final answer
    x = 148,091.64

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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.