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Finding the Third Proportional to 103,547 and 153,862

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Solution

The third proportional to 103,547 and 153,862 is: 228,625.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,547 : 153,862 = 153,862 : x
  2. Step 2: Convert to fraction form
    103,547/153,862 = 153,862/x
  3. Step 3: Cross multiply
    103,547x = 153,862 × 153,862
  4. Step 4: Simplify right side
    103,547x = 23,673,515,044
  5. Step 5: Solve for x
    x = 23,673,515,044/103,547
  6. Step 6: Final answer
    x = 228,625.79

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.