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Finding the Third Proportional to 46,957 and 97,187

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Solution

The third proportional to 46,957 and 97,187 is: 201,148.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,957 : 97,187 = 97,187 : x
  2. Step 2: Convert to fraction form
    46,957/97,187 = 97,187/x
  3. Step 3: Cross multiply
    46,957x = 97,187 × 97,187
  4. Step 4: Simplify right side
    46,957x = 9,445,312,969
  5. Step 5: Solve for x
    x = 9,445,312,969/46,957
  6. Step 6: Final answer
    x = 201,148.13

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.