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Finding the Third Proportional to 46,141 and 97,748

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Solution

The third proportional to 46,141 and 97,748 is: 207,075.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,141 : 97,748 = 97,748 : x
  2. Step 2: Convert to fraction form
    46,141/97,748 = 97,748/x
  3. Step 3: Cross multiply
    46,141x = 97,748 × 97,748
  4. Step 4: Simplify right side
    46,141x = 9,554,671,504
  5. Step 5: Solve for x
    x = 9,554,671,504/46,141
  6. Step 6: Final answer
    x = 207,075.52

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.