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Finding the Third Proportional to 46,748 and 100,053

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Solution

The third proportional to 46,748 and 100,053 is: 214,139.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,748 : 100,053 = 100,053 : x
  2. Step 2: Convert to fraction form
    46,748/100,053 = 100,053/x
  3. Step 3: Cross multiply
    46,748x = 100,053 × 100,053
  4. Step 4: Simplify right side
    46,748x = 10,010,602,809
  5. Step 5: Solve for x
    x = 10,010,602,809/46,748
  6. Step 6: Final answer
    x = 214,139.70

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.