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Finding the Third Proportional to 124,312 and 265,712

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Solution

The third proportional to 124,312 and 265,712 is: 567,948.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,312 : 265,712 = 265,712 : x
  2. Step 2: Convert to fraction form
    124,312/265,712 = 265,712/x
  3. Step 3: Cross multiply
    124,312x = 265,712 × 265,712
  4. Step 4: Simplify right side
    124,312x = 70,602,866,944
  5. Step 5: Solve for x
    x = 70,602,866,944/124,312
  6. Step 6: Final answer
    x = 567,948.93

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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.